Analysis Of Synchronization Of A Kind Of Nonlinear Dynamics

This paper tries to study chaos synchronization and there are two main parts in this paper.Chapter three study the synchronization of the energy resource chaotic system. We apply three methods: active control synchronization, coupled synchronization and Lyapunov method. To active control synchronization, from theory methods and numerical methods, we show that these controllers are reasonable and can conduct good results. And finally, accordant conclusion with theoretical proof is gained by numerical simulation. To coupled synchronization, we discuss the complete synchronization of linearly coupled energy resource chaotic system. A new sufficient condition of global asymptotic synchronization is attained from the theory of stability of time varying systems we give the numerical analysis and attain several good results.Lyapunov method is derived to make the states of two energy resource systems asymptotically synchronized. A simple controlling strategy is proposed for synchronization chaotic systems. The control for chaotic synchronization is directly designed based on Lyapunov's direct method by choosing a positive definite Lyapunov function. Numerical simulations are given to validate the synchronization approach.In chapter four, we use active control synchronization method to study the synchronization of the different chaotic systems .Controller are designed for synchronizing response system and drive system. Compared with the convention approaches, the proposed methods are much simpler and effective than the conventional approaches. Because the Lyapunov exponents are not required to calculate. Moreover, this method are applied for general chaos systems. Both theoretical analysis and simulation result show the effectiveness of this two methods.